Question

The hypotenuse of a right triangle is 6 inches and one of the legs is √ 6 inches, the exact value of the other leg is _______ inches.

A. 15
B. √ 15
C. 30
D. √ 30

Answer 1

The answer is D
Cause it is right triangle, so through Pythagorean theorem, you can know the answer

Answer 2

The answer is the option D

`√(30)\ in`

Explanation:

we know that

In a right triangle

Applying the Pythagoras Theorem

`c^(2) =a^(2)+b^(2)`

where

c is the hypotenuse

a and b are the legs

In this problem we have

`c=6\ in\\a=√(6)\ in`

substitute and solve for b

`6^(2) =(√(6))^(2)+b^(2)`

`36 =6+b^(2)`

`b^(2)=30`

`b=√(30)\ in`